Atkin-Lehner |
2- 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840ce |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-2.2364510129089E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1695040,2110233600] |
[a1,a2,a3,a4,a6] |
j |
131493220370352740159/546008548073472000 |
j-invariant |
L |
1.2515062105132 |
L(r)(E,1)/r! |
Ω |
0.10429218559815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230bd1 |
Quadratic twists by: -4 |